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Finding the Fourth Proportional to 383.93, 575.89 and 261.89

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Solution

The fourth proportional to 383.93, 575.89 and 261.89 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.93 : 575.89 = 261.89 : x
  2. Step 2: Convert to fraction form
    383.93/575.89 = 261.89/x
  3. Step 3: Cross multiply
    383.93x = 575.89 × 261.89
  4. Step 4: Simplify right side
    383.93x = 150,816.95
  5. Step 5: Solve for x
    x = 150,816.95/383.93
  6. Step 6: Final answer
    x = 392.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.